On the Four Vertex Theorem on planes with radial density $e^{ϕ(r)}$

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dc.creatorHieu, Doan The
dc.creatorNam, Tran Le
dc.date2007-09-12
dc.date2008-01-21
dc.date.accessioned2026-07-07T08:55:12Z
dc.date.available2026-07-07T08:55:12Z
dc.descriptionIt is showed that on a plane with a radial density the Four Vertex Theorem holds for the class of all simple closed curves if and only if the density is constant. But for the class of simple closed curves that are invariant under a rotation about the origin, the Four Vertex Theorem holds for every radial density.
dc.description7 pages, 2figures
dc.identifierhttps://arxiv.org/abs/0709.1757
dc.identifierhttp://arxiv.org/abs/0709.1757
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/146200
dc.subjectDifferential Geometry
dc.subject53A04; 53A40
dc.titleOn the Four Vertex Theorem on planes with radial density $e^{ϕ(r)}$
dc.typetext

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